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Fredholm composition operators on algebras of analytic functions on Banach spaces

2010

AbstractWe prove that Fredholm composition operators acting on the uniform algebra H∞(BE) of bounded analytic functions on the open unit ball of a complex Banach space E with the approximation property are invertible and arise from analytic automorphisms of the ball.

Discrete mathematicsMathematics::Functional AnalysisPure mathematicsSpectral theoryApproximation propertyFredholm operatorGlobal analytic functionFinite-rank operatorFredholm integral equationFredholm operatorCompact operatorFredholm theorysymbols.namesakesymbolsComposition operatorBounded analytic functionAnalysisMathematicsJournal of Functional Analysis
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